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LCM of 813, 465, 613, 613

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 813, 465, 613, 613 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 813, 465, 613, 613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,465,613,613

Given numbers are 813,465,613,613

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 813,465,613,613 is 77247195.

Find LCM of 813,465,613,613 with Prime Factorization


3 813, 465, 613, 613
613 271, 155, 613, 613
271, 155, 1, 1

Multiply the prime numbers at the bottom and the left side.

3 x 613 x 271 x 155 x 1 x 1 = 77247195

Therefore, the lowest common multiple of 813,465,613,613 is 77247195.

LCM Formula to Find Lowest Common Multiple of 813,465,613,613

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

813 x 465 x 613 x 613 = 142057591605

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

813 : 1, 3, 271, 813

465 : 1, 3, 5, 15, 31, 93, 155, 465

613 : 1, 613

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,465,613,613, is 1.

Now, the common factors can be found like this.

813:3x 271

465:3x 5x 31

613:613

613:613

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 613 = 1839

Therefore, the value for common factors is 1839.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 142057591605/(1x1839)

LCM = 142057591605/1839

LCM = 77247195

Thus, we can understand that the LCM of 813,465,613,613 is 77247195.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 465, 613, 613

1. What is the LCM of 813, 465, 613, 613?

Answer: LCM of 813, 465, 613, 613 is 77247195.

2. How to calculate the LCM of 813, 465, 613, 613?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 813, 465, 613, 613.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.